Least Common Multiple of 60/822, 3124/3248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/822, 3124/3248 quickly i.e. 23430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/822, 3124/3248 is 23430.

LCM(60/822, 3124/3248) = 23430

LCM of 60/822, 3124/3248

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 60/822,3124/3248

Given numbers are 60/822,3124/3248

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 60,3124

Least Common Multiple of Numerators i.e. LCM of 60,3124 is 46860.

GCF of Denominators means GCF of 822,3248 as per the given fractions.

GCF of 822,3248 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,3124

LCM of Fractions 60/822,3124/3248 is 23430

2 60, 3124
2 30, 1562
15, 781

∴ So the LCM of the given numbers is 2 x 2 x 15 x 781 = 46860

Least Common Multiple of 60,3124 with GCF Formula

Least Common Multiple of 60,3124 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 60,3124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,3124) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(60,3124) x common factors =4 x 1 = 4

LCM(60,3124) = ( 60 × 3124 ) / 4

LCM(60,3124) = 187440 / 4

LCM(60,3124) = 46860


Lets's calculate GCF of 822,3248

2 822, 3248
411, 1624

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46860/2

Therefore the LCM of Fractions 60/822,3124/3248 is 23430

Greatest Common Factor of 822,3248 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,3248 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 3248

List of positive integer factors of 3248 that divides 3248 without a remainder.

1,2,4,7,8,14,16,28,29,56,58,112,116,203,232,406,464,812,1624,3248

Greatest Common Factor

We found the factors 822,3248 . The biggest common factor number is the GCF number.
So the greatest common factor 822,3248 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 60/822, 3124/3248

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 60/822, 3124/3248?

Answer: LCM of Numerators as per given numbers 60/822, 3124/3248 is

LCM of Numerators i.e. for 60,3124 is 46860

GCF of denominators i.e. for 822,3248 is 2.

Thus, LCM of Fractions is 23430.Finally, LCM of Fractions for 60/822, 3124/3248 is 23430.